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Finding the Third Proportional to 265,949 and 569,257

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Solution

The third proportional to 265,949 and 569,257 is: 1,218,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,949 : 569,257 = 569,257 : x
  2. Step 2: Convert to fraction form
    265,949/569,257 = 569,257/x
  3. Step 3: Cross multiply
    265,949x = 569,257 × 569,257
  4. Step 4: Simplify right side
    265,949x = 324,053,532,049
  5. Step 5: Solve for x
    x = 324,053,532,049/265,949
  6. Step 6: Final answer
    x = 1,218,479.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.